10727259840 has 672 divisors, whose sum is σ = 43067996160. Its totient is φ = 2509056000.

The previous prime is 10727259833. The next prime is 10727259841. The reversal of 10727259840 is 4895272701.

It is a happy number.

10727259840 is a `hidden beast` number, since 10 + 7 + 2 + 7 + 2 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10727259841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32408475 + ... + 32408805.

It is an arithmetic number, because the mean of its divisors is an integer number (64089280).

Almost surely, 2^10727259840 is an apocalyptic number.

10727259840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533998080).

10727259840 is an abundant number, since it is smaller than the sum of its proper divisors (32340736320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10727259840 is a wasteful number, since it uses less digits than its factorization.

10727259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10727259840 in words is "ten billion, seven hundred twenty-seven million, two hundred fifty-nine thousand, eight hundred forty".